Two Step Inequality

Front

What is a two-step inequality?

Back

An inequality that requires two operations to isolate the variable.

Front

When solving -3x ≥ 12, what do you do first?

Back

Divide both sides by -3, remembering to flip the inequality sign.

Front

What does it mean to flip the inequality sign?

Back

It means to change the direction of the inequality when multiplying or dividing by a negative number.

Front

How do you solve the inequality 7n - 1 > 76?

Back

Add 1 to both sides to get 7n > 77, then divide by 7 to find n > 11.

Front

What is the solution to the inequality k/-12 ≤ -7?

Back

k ≥ 84.

Front

When graphing the inequality b < 6, what type of circle is used?

Back

An open circle.

Front

What does an open circle on a number line indicate?

Back

It indicates that the number is not included in the solution.

Front

What does a closed circle on a number line indicate?

Back

It indicates that the number is included in the solution.

Front

How do you represent the inequality x < 4 on a number line?

Back

Draw an open circle at 4 and shade to the left.

Front

What is the first step in solving the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides to get 2x < 8.